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  1. Expressive completeness in modal language.Allen Hazen - 1976 - Journal of Philosophical Logic 5 (1):25--46.
    The logics of the modal operators and of the quantifiers show striking analogies. The analogies are so extensive that, when a special class of entities (possible worlds) is postulated, natural and non-arbitrary translation procedures can be defined from the language with the modal operators into a purely quantificational one, under which the necessity and possibility operators translate into universal and existential quantifiers. In view of this I would be willing to classify the modal operators as ‘disguised’ quantifiers, and I think (...)
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  • Some theorems on the expressive limitations of modal languages.Harold T. Hodes - 1984 - Journal of Philosophical Logic 13 (1):13 - 26.
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  • Axioms for actuality.Harold T. Hodes - 1984 - Journal of Philosophical Logic 13 (1):27 - 34.
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  • (1 other version)Model Theory for Modal Logic. Part I--the de Re/De Dicto Distinction.Kit Fine - 1985 - Journal of Symbolic Logic 50 (4):1083-1093.
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